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Finding the Fourth Proportional to 6,542.12, 9,814.03 and 2,381.49

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Solution

The fourth proportional to 6,542.12, 9,814.03 and 2,381.49 is: 3,572.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,542.12 : 9,814.03 = 2,381.49 : x
  2. Step 2: Convert to fraction form
    6,542.12/9,814.03 = 2,381.49/x
  3. Step 3: Cross multiply
    6,542.12x = 9,814.03 × 2,381.49
  4. Step 4: Simplify right side
    6,542.12x = 23,372,008.35
  5. Step 5: Solve for x
    x = 23,372,008.35/6,542.12
  6. Step 6: Final answer
    x = 3,572.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.